Тест 1.3 Beam with tightener
Verification of the LIRA-SAPR software / Тест 1.3 Beam with tightener / Analytical solution: M. Laredo, Résistance des matériaux, Paris, Dunod, 1970, p. 77.
Analytical solution: M. Laredo, Résistance des matériaux, Paris, Dunod, 1970, p. 77.
Geometry:
Стержни AD, DF, FB: А = 0.01516 м2; Аr = A/2.5; I = 2.174 x 10-4 м4.
Стержни AC, DC, CE, FE, EB: А1 = А2 = 4.5 x 10-3 м2; А3 = 3.48 x 10-3 м2.
а = 2 м; b = 4 м; l = 8 м; с = 0.6 м; d = 2.088 м.
Material characteristics: Isotropic elastic, Е=2.1 х 1011 Па, G=0.4 x Е Па.
Boundary conditions: uA = vA = 0; vB = 0.
Stresses:
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p = -50000Н/м. The tightening is tightened on the δ = 6.52 x 10-3 м. |
CALCULATION RESULTS:
Point |
The desired value |
Analytical solution |
Calculation results (LIRA) |
Uncertainty,% |
СЕ |
Longitudinal force, Н |
584584 |
584584 |
0 |
Н |
Moment М, Нм |
49249,5 |
49249,5 |
0 |
D |
Moving vD, м |
-0,0005428 |
-0,0005428 |
0 |
Verification examples
- Section 1 Linear static problems for rod systems, plates and shells, three-dimensional problems
- Section 2 Physically nonlinear problems
- Section 3 Geometrically nonlinear problems for threads, cable-stayed trusses, rods, membranes and plates
- Section 4 Задачи устойчивости, в основном изгибно-крутильные формы потери устойчивости
- Section 5 Modal analysis
- Section 6 Linear dynamic problems
- Section 7 Static and dynamic problems with one-sided constraints
- Section 8 Geometric characteristics of the section
- Section 9 Procritical calculations
- Section 10 Problems of stationary and non-stationary heat conduction
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